Glasnik matematički, Vol. 45 No. 1, 2010.
Original scientific paper
https://doi.org/10.3336/gm.45.1.09
A quasistatic frictional contact problem with normal compliance and finite penetration for elastic materials
Arezki Touzaline
; Laboratoire de Systèmes Dynamiques, Faculté de Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, BP 32 EL ALIA, Bab Ezzouar, 16111, Algérie
Abstract
We consider a quasistatic unilateral contact problem with finite penetration between an elastic body and an obstacle, say a foundation. The constitutive law is assumed to be nonlinear and the contact is modelled with normal compliance associated to a version of Coulomb's law of dry friction. Under a smallness assumption on the contact functions, we establish the existence of a weak solution to the problem. The proofs are based on arguments of time-dicretization, compactness and lower semicontinuity.
Keywords
Elastic material; quasistatic process; frictional contact; incremental; normal compliance; Signorini condition; variational inequality; weak solution
Hrčak ID:
52371
URI
Publication date:
17.5.2010.
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